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Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate

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Abstract

It is pointed out that crystals are discrete but not continuous materials. Hence the rotation R in decomposition F = RU and spin W in .FF −1 are not correct. Errors will arise in plastic deformation rate if it is directly expressed with amounts of velocity of slips in glide systems such as \(\dot \gamma \nu \otimes n\). The geometrical figure of crystal lattices does not change after slips and based on this idea a simple way in mechanics of continuous media to get the plastic deformations rate induced by slips is proposed. Constitutive equations are recommended.

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  1. Department of Mechanics, Tianjin University, Tianjin, 300072, P R China

    Zu-wu Zhao

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  1. Zu-wu Zhao
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Zhao, Zw. Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate. Applied Mathematics and Mechanics 22, 89–95 (2001). https://doi.org/10.1023/A:1015531202113

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